Atkin-Lehner |
2- 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200dv |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
2470579273728000 = 228 · 36 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115888,14956628] |
[a1,a2,a3,a4,a6] |
j |
336180796842437/4825350144 |
j-invariant |
L |
5.510393322568 |
L(r)(E,1)/r! |
Ω |
0.45919947459882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15150bg1 121200cm1 |
Quadratic twists by: -4 5 |